details

property	value
status	complete
benchmark	mod.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n183.star.cs.uiowa.edu
space	AProVE_09_Inductive

run statistics

property	value
solver	NaTT v.1.6c
configuration	Default
runtime (wallclock)	0.328819 seconds
cpu usage	0.069722
user time	0.039865
system time	0.029857
max virtual memory	113188.0
max residence set size	7136.0

stage attributes

key	value
starexec-result	MAYBE

output

MAYBE Input TRS: 1: minus(0(),y) -> 0() 2: minus(s(x),y) -> if(gt(s(x),y),x,y) 3: if(true(),x,y) -> s(minus(x,y)) 4: if(false(),x,y) -> 0() 5: mod(x,0()) -> 0() 6: mod(x,s(y)) -> if1(lt(x,s(y)),x,s(y)) 7: if1(true(),x,y) -> x 8: if1(false(),x,y) -> mod(minus(x,y),y) 9: gt(0(),y) -> false() 10: gt(s(x),0()) -> true() 11: gt(s(x),s(y)) -> gt(x,y) 12: lt(x,0()) -> false() 13: lt(0(),s(x)) -> true() 14: lt(s(x),s(y)) -> lt(x,y) Number of strict rules: 14 Direct POLO(bPol) ... failed. Uncurrying gt 1: minus(0(),y) -> 0() 2: minus(s(x),y) -> if(gt^1_s(x,y),x,y) 3: if(true(),x,y) -> s(minus(x,y)) 4: if(false(),x,y) -> 0() 5: mod(x,0()) -> 0() 6: mod(x,s(y)) -> if1(lt(x,s(y)),x,s(y)) 7: if1(true(),x,y) -> x 8: if1(false(),x,y) -> mod(minus(x,y),y) 9: gt^1_0(y) -> false() 10: gt^1_s(x,0()) -> true() 11: gt^1_s(x,s(y)) -> gt(x,y) 12: lt(x,0()) -> false() 13: lt(0(),s(x)) -> true() 14: lt(s(x),s(y)) -> lt(x,y) 15: gt(0(),_1) ->= gt^1_0(_1) 16: gt(s(_1),_2) ->= gt^1_s(_1,_2) Number of strict rules: 14 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #minus(s(x),y) -> #if(gt^1_s(x,y),x,y) #2: #minus(s(x),y) -> #gt^1_s(x,y) #3: #mod(x,s(y)) -> #if1(lt(x,s(y)),x,s(y)) #4: #mod(x,s(y)) -> #lt(x,s(y)) #5: #gt^1_s(x,s(y)) -> #gt(x,y) #6: #lt(s(x),s(y)) -> #lt(x,y) #7: #gt(s(_1),_2) ->? #gt^1_s(_1,_2) #8: #if(true(),x,y) -> #minus(x,y) #9: #if1(false(),x,y) -> #mod(minus(x,y),y) #10: #if1(false(),x,y) -> #minus(x,y) #11: #gt(0(),_1) ->? #gt^1_0(_1) Number of SCCs: 4, DPs: 7 SCC { #6 } POLO(Sum)... succeeded. s w: x1 + 1 #lt w: x1 + x2 gt w: 0 #gt^1_0 w: 0 minus w: 0 mod w: 0 if1 w: 0 false w: 0 true w: 0 #if1 w: 0 0 w: 0 if w: 0 gt^1_0 w: 0 #gt w: 0 #minus w: 0 #mod w: 0 gt^1_s w: 0 #if w: 0 lt w: 0 #gt^1_s w: 0 USABLE RULES: { } Removed DPs: #6 Number of SCCs: 3, DPs: 6 SCC { #5 #7 } POLO(Sum)... succeeded. s w: x1 + 2 #lt w: 0 gt w: 0 #gt^1_0 w: 0 minus w: 0 mod w: 0 if1 w: 0 false w: 0 true w: 0 #if1 w: 0 0 w: 0 if w: 0 gt^1_0 w: 0 #gt w: x2 + 1 #minus w: 0 #mod w: 0 gt^1_s w: 0 #if w: 0 lt w: 0 #gt^1_s w: x2 USABLE RULES: { } Removed DPs: #5 #7 Number of SCCs: 2, DPs: 4 popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Standard